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Finding the Third Proportional to 181,635.75 and 249,336.38

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Solution

The third proportional to 181,635.75 and 249,336.38 is: 342,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,635.75 : 249,336.38 = 249,336.38 : x
  2. Step 2: Convert to fraction form
    181,635.75/249,336.38 = 249,336.38/x
  3. Step 3: Cross multiply
    181,635.75x = 249,336.38 × 249,336.38
  4. Step 4: Simplify right side
    181,635.75x = 62,168,627,898.14
  5. Step 5: Solve for x
    x = 62,168,627,898.14/181,635.75
  6. Step 6: Final answer
    x = 342,270.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.